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Canted antiferromagnetic phases in the candidate layered Weyl material EuMnSb2

J. M. Wilde, S. X. M. Riberolles, Atreyee Das, Y. Liu, T. W. Heitmann, X. Wang, W. E. Straszheim, S. L. Bud'ko, P. C. Canfield, A. Kreyssig, R. J. McQueeney, D. H. Ryan, and B. G. Ueland
Phys. Rev. B 106, 024420 – Published 21 July 2022

Abstract

EuMnSb2 is a candidate topological material which can be tuned towards a Weyl semimetal, but there are differing reports for its antiferromagnetic (AFM) phases. The coupling of bands dominated by pure Sb layers hosting topological fermions to Mn and Eu magnetic states provides a potential path to tune the topological properties. Here we present single-crystal neutron diffraction, magnetization, and heat-capacity data as well as polycrystalline Eu151 Mössbauer data which show that three AFM phases exist as a function of temperature, and we present a detailed analysis of the magnetic structure in each phase. The Mn magnetic sublattice orders into a C-type AFM structure below TNMn=323(1)K with the ordered Mn magnetic moment μMn lying perpendicular to the layers. AFM ordering of the Eu sublattice occurs below TNEu1=23(1)K with the ordered Eu magnetic moment μEu canted away from the layer normal and μMn retaining its higher temperature order. μEu is ferromagnetically aligned within each Eu layer but exhibits a complicated AFM layer stacking. Both of these higher-temperature phases are described by magnetic space group (MSG) Pnma with the chemical and magnetic unit cells having the same dimensions. Cooling below TNEu2=9(1)K reveals a third AFM phase where μMn remains unchanged but μEu develops an additional substantial in-plane canting. This phase has MSG P1121a. We also find some evidence of short-range magnetic correlations associated with the Eu between 12KT30K. Using the determined magnetic structures, we postulate the signs of nearest-neighbor intralayer and interlayer exchange constants and the magnetic anisotropy within a general Heisenberg model. We then discuss implications of the various AFM states in EuMnSb2 and their potential for tuning topological properties.

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  • Received 29 March 2022
  • Revised 17 June 2022
  • Accepted 5 July 2022

DOI:https://doi.org/10.1103/PhysRevB.106.024420

©2022 American Physical Society

Physics Subject Headings (PhySH)

Condensed Matter, Materials & Applied Physics

Authors & Affiliations

J. M. Wilde1,2, S. X. M. Riberolles1, Atreyee Das1,2, Y. Liu1,*, T. W. Heitmann3,4, X. Wang5, W. E. Straszheim6, S. L. Bud'ko1,2, P. C. Canfield1,2, A. Kreyssig1,2,†, R. J. McQueeney1,2, D. H. Ryan7,‡, and B. G. Ueland1,2,§

  • 1Ames Laboratory, U.S. DOE, Iowa State University, Ames, Iowa 50011, USA
  • 2Department of Physics and Astronomy, Iowa State University, Ames, Iowa 50011, USA
  • 3University of Missouri Research Reactor, University of Missouri, Columbia, Missouri 65211, USA
  • 4Department of Physics and Astronomy, University of Missouri, Columbia, Missouri 65211, USA
  • 5Neutron Scattering Division, Oak Ridge National Laboratory, Oak Ridge, Tennessee 37831, USA
  • 6Materials Analysis and Research Laboratory, Office of Biotechnology, Iowa State University, Ames, Iowa 50011, USA
  • 7Physics Department and Centre for the Physics of Materials, McGill University, 3600 University Street, Montreal, Quebec, Canada H3A 2T8

  • *Present Address: Crystal Growth Facility, Institute of Physics, École Polytechnique Fédérale de Lausanne, CH-1015 Lausanne, Switzerland.
  • Present Address: Ruhr-Universität Bochum, Universitätsstraße 150 44801 Bochum, Germany.
  • dominic@physics.mcgill.ca
  • §bgueland@ameslab.gov, bgueland@gmail.com

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Issue

Vol. 106, Iss. 2 — 1 July 2022

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Images

  • Figure 1
    Figure 1

    (a) The chemical structure of EuMnSb2 with a=22.4958Å, b=4.3758Å, and c=4.3908Å. The orthorhombic unit cell is drawn with gray lines, and the two Sb sites are labeled Sb 1 and Sb 2. (b) The Sb 2 layer as viewed by looking down the a axis. Views of the chemical unit cell looking (c) down b and (d) up c. Panels (e)–(g) show the antiferromagnetic order occurring at temperatures of TNEu1<T<TNMn, TNEu2<T<TNEu1, and T<TNEu2, respectively, where TNMn=323(1)K, TNEu1=23(1)K, and TNEu2=9(1)K. These diagrams were made using vesta [13].

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  • Figure 2
    Figure 2

    (a) The magnetization divided by magnetic field versus temperature for H applied parallel or perpendicular to a. (b) The magnetization versus magnetic field at T=1.8K for H applied parallel or perpendicular to a. “f.u.” stands for formula unit.

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  • Figure 3
    Figure 3

    The isobaric heat capacity divided by temperature versus temperature. The inset shows the isobaric heat capacity versus temperature.

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  • Figure 4
    Figure 4

    (a) Eu151 Mössbauer spectra of EuMnSb2 at various temperatures. Solid lines are fits using the two models described in the text: Magenta lines—full Hamiltonian, used for T=5 and 12.5 K; red lines—incommensurate modulation. (b) Amplitudes of the Fourier components (Bkx) used to fit the modulated structure, as described in the text.

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  • Figure 5
    Figure 5

    Temperature dependence of the hyperfine field for EuMnSb2 derived from the two models used to fit the spectra showing evidence for two transitions. The black circles show Bhf derived from a full Hamiltonian fit and represents an average that does not take account of any distribution. The solid red line is a J=72 Brillouin function, expected for Eu2+ and yielding an extrapolated transition temperature of 22.8(1)K. The small cyan squares show the average hyperfine field Bhf derived from the modulated model. The larger blue squares show the behavior of Bk0, the constant term in the Fourier expansion, which breaks away from Bhf above 10 K and reaches zero at 22.5(1) K. The residual contributions seen above 25 K are likely due to short-range magnetic correlations in the Eu sublattice.

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  • Figure 6
    Figure 6

    Diffraction data for EuMnSb2 from longitudinal (θ2θ) and rocking (Δθ) scans made at various temperatures using a neutron wavelength of 1.638 Å. The label 80 (20) corresponds to 80 (20) Söller-slit collimators being used after the sample. Lines are fits as discussed in the text. (a), (c) θ2θ scan and (b), (d) rocking scan data for (a), (b) (400) and (c), (d) (020)/(002) at T=330K. θ2θ scan data for (e) (220)/(202) and (g) (210)/(201) taken at 330 and 50 K. θ2θ scan data for (f) (020)/(002) and (h) (010)/(001) at 330 and 50 K using the tighter collimation.

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  • Figure 7
    Figure 7

    Heights of the (a) (010)/(001), (b) (210)/(201), (c) (600), (d) (020)/(002), and (e) (220)/(202) Bragg peaks for EuMnSb2 as functions of temperature. Lines in panels (a) and (b) are fits to y0+(TNT)2β where y0 is a constant, TN is the Néel temperature, and β is the critical exponent for the magnetic order parameter. The fits give β0.3. Lines in panels (c)–(e) are guides to the eye.

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  • Figure 8
    Figure 8

    Diffraction data for EuMnSb2 for (a)–(d) (010)/(001) and (e)–(h) (020)/(002) from longitudinal (θ2θ) scans made at (a), (e) T=200K, (b), (f) T=50K, (c), (g) T=20K, and (d), (h) T=8K using 20 Söller-slit collimators after the sample. Data are plotted as a function of reciprocal-lattice units (rlu) for the twinned directions (0k0) and (00l). Gray lines show the two-Gaussian fits to the data described in the text and red and blue dashed lines show the single-Gaussian lineshapes for each twin. The slight shoulder in panels (b)–(d) above the fit lineshape shows no substantial temperature dependence and does not affect the analysis presented in the text.

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  • Figure 9
    Figure 9

    (a) The calculated versus observed structure factors for both nuclear and magnetic Bragg peaks from a refinement to T=50K data for EuMnSb2 taken on TOPAZ using the antiferromagnetic structure in Fig. 1. Simulated (b) (hk0) and (c) (h0l) diffraction patterns for the 50 K antiferromagnetic order made with mag2pol [22].

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  • Figure 10
    Figure 10

    Data for EuMnSb2 from longitudinal (θ2θ) scans across the (a)(300), (b) (010)/(001), (c) (600)/(600), (d) (020)/(002), (e) (120)/(102), (f) (220)/(202), (g) (110)/(101), and (h) (210)/(201) positions at T=30, 13, and 6 K. Lines are fits to either the Gaussian or two Gaussian lineshapes with constant offsets described in the text.

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  • Figure 11
    Figure 11

    The intensities of the (a) (300), (b) (010)/(001), (c) (600), (d) (020)/(002), (e) (120)/(102), (f) (220)/(202), (g) (110)/(101), and (h) (210)/(201) Bragg peaks for EuMnSb2 as functions of temperature. A sharp change in intensity below TNEu1 and/or TNEu2 is due to magnetic ordering. Lines are guides to the eye.

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  • Figure 12
    Figure 12

    (a) The calculated versus observed structure factors for both nuclear and magnetic Bragg peaks from a refinement to T=12K data for EuMnSb2 taken on TOPAZ using the antiferromagnetic structure in Fig. 1. Simulated (b) (hk0) and (c) (h0l) diffraction patterns for the 12 K antiferromagnetic order made with mag2pol [22].

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  • Figure 13
    Figure 13

    (a) The calculated versus observed structure factors for both nuclear and magnetic Bragg peaks from a refinement to T=5K data for EuMnSb2 taken on TOPAZ using the antiferromagnetic structure in Fig. 1. Simulated (b) (hk0) and (c) (h0l) diffraction patterns for the 5 K antiferromagnetic order made with mag2pol [22].

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